Linear Algebra 12a: Applications Series - Polynomial Interpolation

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OK. This is was VERY good about WHY we want to use interpolation and linear algebra. THANK YOU!

I kept asking my Linear Algebra teacher 20 years ago "Why do I want to learn this?" His answer was always "We learn math for spiritual growth".

Steve-P
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Okay.. This is very good. Thank you!! Subbed and liked...

shofibahalwan
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BTW I your videos are really good.  I really appreciate these.

mybankofamerica
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How is ax+bx^2+cx^3+dx^4 is linear function? Isn't it a polynomial? I get that you say it's linear in a, b, c, d. But that's what not linear refers to in general? being Linear means in the changing variable which x here. a, b, c, d are just coefficients here.

dishankdazzler
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Given n points, is there always a polynomial that passes through all of them?

loremazza
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very good video ; but just a little detail : the portrait shown cannot possibly be Vandermonde's. He lived in the second half of the 18th century ; and the dress and haircut of the man on the portrait are obviously around 1600.

denisgiard
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Hi, I was wondering what software you use when you are inserting the matrix and picture

mybankofamerica
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We can say A is invertible AFTER looking at the columns, how can you say it beforehand? Am I missing something?

vineetmukim
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I don't understand why this is linear algebra, since the polynomial is not linear.

Drk